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Finding the Third Proportional to 118,165,406 and 189,858,921

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Solution

The third proportional to 118,165,406 and 189,858,921 is: 305,050,446.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,165,406 : 189,858,921 = 189,858,921 : x
  2. Step 2: Convert to fraction form
    118,165,406/189,858,921 = 189,858,921/x
  3. Step 3: Cross multiply
    118,165,406x = 189,858,921 × 189,858,921
  4. Step 4: Simplify right side
    118,165,406x = 36,046,409,883,284,240
  5. Step 5: Solve for x
    x = 36,046,409,883,284,240/118,165,406
  6. Step 6: Final answer
    x = 305,050,446.69

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.